Question on Binary Strings and Bits (Discrete Math) Answer all parts with brief
ID: 3841442 • Letter: Q
Question
Question on Binary Strings and Bits (Discrete Math)
Answer all parts with brief explanation. Thank you
(a) What is the minimum number of bits required to store each binary string of length 50? (b) What is the minimum number of bits required to store each number with 9 base ten digits? (c) What is the minimum number of bits required to store each length 10 fixed-density binary string with 4 ones? (d) In terms of n, what is the minimum number of bits required to store each subset of a set with n elements? (e) What is the minimum number of bits required to store each rearrangement of the numbers 1 through 8? (f) What is the minimum number of bits required to store each three-letter string? (26 alphabetical letters, not case-sensitive)Explanation / Answer
1.a) It requires 6 bits because 2^5<50<2^6 so minimum of 6 bits are required.
b)For a 10 digit number with base 9 we need a minimum of 10 bits
c)suppose consider a 10 fixed-density binary string with 4 ones as 0000001111 it value is 15 which requires 4 bits minimum and maximum when 1111000000
d)it requires 2^n elements
e)It requires 1+2+2+2+2+2+2+3 =16 bits minimum bits rearrage the numbers from 1 through 8
f)It requires 5 bits because 2^4<26<2^5 since 2^5 is 32 which is enough to store 26 letters
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